Although Dolphi apears to be a bit shady, they are authorized to carry out repairs for many major brands.
If you have submitted the claim number from LH, they will be charged for the repair. If your bags are beyond any repairability, you will receive voucher to buy a new bag with them.
In spring I reported two busted locks on Rimowa suitcases. The suitcases we're picked up at my home, repaired within one week and then send back. Everything free of charge.
Contact was a little cluncky due to the bad website, but a call and an email made things much more easy.
Cheers Alex